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Mila [183]
3 years ago
6

Jacobi measured the diagonals of three tv screens qs 5√84 inches 46 2/3 inches and 46.625 inches which shows the lengths of the

diagonals in n ascending order?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0

Answer:

The TV with the shortest diagonal is first TV with  45.845 ", followed by the third TV with 46.625" and the longest is the second TV with 46.666 "

Step-by-step explanation:

what we must do is pass calculate the value in each case, like this:

first tv, 5√84

We do the multiplication, first calculating the square root of 84.

5√84 = 45.825

that is, the diagonal of the first TV is 45.845 inches

second tv, 46 2/3

in this case it is a mixed number with integer and fractional part, the integer part is 46 and 2/3 is the fractional part, which is 0.666

Thus:

46 2/3 = 46.666

that is, the diagonal is 46.666 inches

On the third TV, it is directly 46.625

In other words, the TV with the shortest diagonal is 45.845 ", followed by the third TV with 46.625" and the longest is 46.666 "

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Answer:

Brian has $776 more account in his account than Chris.

Step-by-step explanation:

Compound interest Formula:

A=P(1+r)^t

I= A-P

A= Amount after t years

P= Initial amount

r= Rate of interest

t= Time in year

Given that,

Brian invests $10,000 in an account earning 4% interest, compounded annually for 10 years.

Here P = $10,000 , r= 4%=0.04, t=10 years

The amount in his account after 10 years is

A=10000(1+0.04)^{10}

   =$14802.44

  ≈$14802

Five years after Brian's investment,Chris invests $10,000 in an account earning 7% interest, compounded annually for 5 years.

Here P = $10,000 , r= 7%=0.07, t=5 years

The amount in his account after 5 years is

A=10000(1+0.07)^{5}

   =$14025.51

  ≈$14026

From the it is cleared that Brian has $(14802-14026)=$776 more account in his account than Chris.

6 0
3 years ago
Students were packed shoulder to shoulder in a gym for a pep rally. The students were in a rectangular shaped area of 7,500 ft2.
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Answer: 1527

Step-by-step explanation:

Total Area = 7500 ft^2

Area covered by one student = Area of one circle

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r = radius of circle = 2.5/2 = 1.25 ft

Area covered by one student = π*1.25^2 = 4.91 ft^2

Number of students who can fit into total area = Total Area/Area covered by one student

Number of students who can fit into total area = 7500/4.91 = 1527.49

Hence the answer is 1527 students

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